AbstractThe inviscid three‐dimensional stagnation‐point in magnetohydrodynamics is investigated in full generality. The analytic character of the flow depends on just two parameters, one of which characterizes the streamline pattern on the body and the other the effective interaction of the electromagnetic field. The pattern, according to linear terms, must be either nodal or contain a stagnation line; the spiral and saddle‐point patterns are ruled out. A method of obtaining the flow to arbitrary accuracy is presented; improvement is regressive, i.e. from higher to lower degree terms. With higher‐degree terms the stagnation line in general gives way to a combination saddle‐nodal point which has not been noticed before.